CHAPTER 2: DIFFERENIIAHON
2.4 THE CHAIN RULE
The Chain Rule
If y = u) is a differentiable function of u and u = g(x] is a differentiable function of
x, then _1' :1 Iglxl} is a differentiable function of x and
(éL) ah.) or {it (fit (it
EX 2] Fi
CHAPTER 2: DIFFERENTIATION
2.6: RELATED RATES
EX 1] Suppose a 10 ft. ladder is sliding down the side of a building at a rate of 2 ft/sec.
How fast is the ladder sliding away from building when the ladder is 6 it away from the
building?
x 1+5: [Oz
CHAPTER 1 : LIMITS 8c THEIR PROPERTIES
1.2: FINDING LIMITS GRAPHICALLY AND NUMERICALLY
0'53? 4 hols
is not dened at x: 3. What happens to the function near .1: =E
3"
xapprnuclacs 2 l'roInIh-I: left 5: appmauhcs 2 from IlIcrighl
x 1.9 j 1.95
___________
/
Math Analysis Exam Review
Semester!
vMafrices:
.. 1 3
A=L52 31] 5%: :5] C=["2 3]
Find each product, ifpossiblc. NO calculators!
1. AB 2. AC
32%:
Salve Each systnm using inverse matrices, nu? operations, or Cramers Rule
r- CHAPTER 3: APPLIOAnONS OF DIFFERENTIATION
E;- 3.2 ROLLE's THEOREM AND THE MEAN VALUE
Jr THEOREM
3.2 Rolle's Theorem and the Mean Value Theorem
Quick which. three times of functions are differentiable 4H,!"
. at all points in thai domain? .
Renew | mg